就像大家知道的每5个纳税申报就有一个包括错误,然后会被归类为“错误”
a)
计算一下在一个有5个纳税申报的抽样的概率 1、一个错误都没有2、至少一个是错误
b)
计算一下概率最多两个纳税申报是错误的
c)
一个检查员随机选择了包括20个纳税申报的抽样,计算一下这个抽样的概率,1、7个错误2、至多两个错误
d)
陈述一下你用来回答以上三个问题的假设的潜在的概率分布
e)
假设现在一个国家纳税申报的总人口是100万,你可以假设一个抽样包括其中的25万来计算“至少他们当中的10%是错的,你在问题d中提供的回答仍然适用吗,为什么(或为什么不适用)
还有一道题,希望各位高手指点迷津
下面哪一个模型可以用最小二乘法估计?给出你的理由 a) Y = a + bX + u b) Y = a + bcX + u c) Y = eaXbeu d) lnY = a + blnX + u e) Y = a + bX2 + u f) Y = a + b2X + u
这是英文原题
It is known that one out of every five tax returns will contain errors and will be classed as faulty.
a) Calculate the probability that in a sample of five tax returns i) none are faulty; ii) at least one is faulty
(4 marks)
b) Calculate the probability that at most two tax returns are faulty
(2 marks)
c) An inspector randomly selects a sample of 20 tax returns. Calculate the probabilities that in the sample of 20 i) seven are faulty; ii) at most two are faulty.
(4 marks)
d) State the assumptions underlying the probability distribution you used to answer parts a)-c) above.
(3 marks)
e) Suppose now that the total population of tax returns in a country is one million and you could assume a sample of 250,000 of them to calculate the probability that at least 10% of them are faulty. Would the answer you provided in part d) still hold? Why (not)?
(5 marks)
Which of the following models could be estimated using OLS? Give your reasoning.
a) Y = a + bX + u
(2 marks)
b) Y = a + bcX + u
(2 marks)
c) Y = eaXbeu
(2 marks)
d) lnY = a + blnX + u
(2 marks)
e) Y = a + bX2 + u
(2 marks)
f) Y = a + b2X + u
(2 marks)